Mathematics 0580 · IGCSE · Sequences

Sequences — practice question

The diagram depicts a regular polygon.
(a(i))[1]

Write down the polygon's mathematical name.

(a(ii))[2]

Show that the polygon's interior angle is $135^{\circ}$.

(b(i))[3]

Complete the table.

(b(ii))[1]

Write down the term-to-term rule for the line count in the sequence.

(b(iii))[1]

Work out the number of lines in Diagram 9.

(b(iv))[2]

Find an expression, in terms of $n$, for the number of lines in Diagram $n$.

(b(v))[2]

Find the value of $k$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: octagon

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI